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Simplifying 4(k + -4) + -6(2k + 7) = 0 Reorder the terms: 4(-4 + k) + -6(2k + 7) = 0 (-4 * 4 + k * 4) + -6(2k + 7) = 0 (-16 + 4k) + -6(2k + 7) = 0 Reorder the terms: -16 + 4k + -6(7 + 2k) = 0 -16 + 4k + (7 * -6 + 2k * -6) = 0 -16 + 4k + (-42 + -12k) = 0 Reorder the terms: -16 + -42 + 4k + -12k = 0 Combine like terms: -16 + -42 = -58 -58 + 4k + -12k = 0 Combine like terms: 4k + -12k = -8k -58 + -8k = 0 Solving -58 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + -8k = 0 + 58 Combine like terms: -58 + 58 = 0 0 + -8k = 0 + 58 -8k = 0 + 58 Combine like terms: 0 + 58 = 58 -8k = 58 Divide each side by '-8'. k = -7.25 Simplifying k = -7.25
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